I have the feeling that Flash-based ( or Silverlight-based) websites are generally frowned upon, except when you are creating games or multimedia-content rich applications.
Flash isn't evil, it's what people do with it that's evil.
For goofy vector animations and maybe even for example a 360 product view or interactive diagram, yes. Flash can do beautiful Full HD animation on my ancient box @ 60 fps using ~15 % cpu.
For web video, if you have no other choice, I suppose.
But for entire websites and these things called 'RIA's, no.
So shockingly a technology works better for the thing that it was designed to do.